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Iterate on an idea with the user, challenging their viewpoint in constructive ways until both parties are content with the outcome. Use when the user wants to develop an idea, refine a half-formed concept, pressure-test their thinking, or mentions "brainstorm".
用 Codex 或 Claude 帮你安装 复制这段 Prompt，粘贴到 Codex、Claude 或其他助手里，让它检查 Skill 页面并帮你完成安装。
基于 SOC 职业分类
Computes the Levi-Civita connection, Christoffel symbols, Riemann curvature tensor, Ricci tensor, and scalar curvature from a Riemannian metric using the local_coordinates JAX library. Use when the user works with curvature quantities, parallel transport, Koszul formula, Bianchi identities, or needs to verify that a metric is flat or that curvature tensor symmetries hold.
Solves the geodesic equation and computes exponential and logarithmic maps on Riemannian manifolds using the local_coordinates JAX library. Use when the user works with geodesics, parallel transport along a curve, Taylor expansions of the exponential map in Riemann normal coordinates, injectivity radius, or ODE integration of the geodesic system.
Builds RiemannianMetric objects in the local_coordinates JAX library from metric component functions, including raising and lowering indices, changing basis, and constructing the inverse metric. Use when the user defines a metric tensor, needs to convert between coordinate and orthonormal bases, or wants to verify symmetry and positive definiteness.
Interview the user relentlessly about a plan or design until reaching shared understanding, resolving each branch of the decision tree. Use when user wants to stress-test a plan, get grilled on their design, or mentions "grill me".
Use this skill when constructing, training, evaluating, saving, loading, or documenting the JAX plus Equinox conformal coordinate frame field for disentanglement, a noise-conditional model that learns a local conformal frame J(x) = lambda(x) U(x) from data through score matching, integrability, and independence losses.
Use this skill when constructing, applying, training, saving, loading, or documenting a standalone learnable orthogonal matrix in JAX plus Equinox, parameterized by the matrix exponential of a skew-symmetric matrix, the Cayley transform, or a QR factorization.
| name | brainstorm |
| description | Iterate on an idea with the user, challenging their viewpoint in constructive ways until both parties are content with the outcome. Use when the user wants to develop an idea, refine a half-formed concept, pressure-test their thinking, or mentions "brainstorm". |
Brainstorm with me on this idea. Challenge my viewpoint in constructive ways. Surface weaknesses, propose alternative framings, and push back when something does not hold up. For each pushback, offer your recommended revision so we move forward instead of stalling. Hold positions you actually believe, and concede when I make a stronger argument.
Work through one thread at a time.
Keep every response short. A few sentences at most, no headers, no bullet lists unless a list is the actual content. The point is to iterate quickly, so I should spend more time thinking than reading.
After every exchange, including the very first time I ask to brainstorm, pause and decide whether you are satisfied with the idea as it stands and whether we should stop brainstorming. If you are satisfied, say so plainly and ask if I want to wrap up. Do not keep pushing back for its own sake.
Continue until we are both content with the outcome.
If a question can be answered by exploring the codebase, explore the codebase instead.
This skill is inherently interactive. The back and forth is the whole point. Even if auto mode is on, do not skip my replies, do not batch several threads into one turn, and do not proceed past a pushback without my answer. Auto mode does not apply while we are in brainstorm mode.
